4668216 has 64 divisors (see below), whose sum is σ = 13716480. Its totient is φ = 1296000.

The previous prime is 4668211. The next prime is 4668221. The reversal of 4668216 is 6128664.

It is a happy number.

4668216 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4668211) and next prime (4668221).

It is a nude number because it is divisible by every one of its digits.

4668216 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5841 + ... + 6591.

It is an arithmetic number, because the mean of its divisors is an integer number (214320).

Almost surely, 2^4668216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858240).

4668216 is an abundant number, since it is smaller than the sum of its proper divisors (9048264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4668216 is a wasteful number, since it uses less digits than its factorization.

4668216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 4668216 is about 2160.6054706957. The cubic root of 4668216 is about 167.1284226183.

It can be divided in two parts, 4668 and 216, that added together give a palindrome (4884).

The spelling of 4668216 in words is "four million, six hundred sixty-eight thousand, two hundred sixteen".